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人気のある三角関数 >

cos^5(x)= 1/2

解

cos^{5} (x) = \frac{1}{2}

解

x = 0.51447 \dots + 2 πn, x = 2 π - 0.51447 \dots + 2 πn

+1

度

x = 29.47731 \dots^{\circ} + 36 0^{\circ} n, x = 330.52268 \dots^{\circ} + 36 0^{\circ} n

解答ステップ

cos^{5} (x) = \frac{1}{2}

x^{n} = f (a)

の場合, n は奇数, 解は

x = n f (a)

cos (x) = 5 \frac{1}{2}

三角関数の逆数プロパティを適用する

cos (x) = 5 \frac{1}{2}

以下の一般解

cos (x) = 5 \frac{1}{2}

cos (x) = a \Rightarrow x = arccos (a) + 2 πn, x = 2 π - arccos (a) + 2 πn

x = arccos (5 \frac{1}{2}) + 2 πn, x = 2 π - arccos (5 \frac{1}{2}) + 2 πn

x = arccos (5 \frac{1}{2}) + 2 πn, x = 2 π - arccos (5 \frac{1}{2}) + 2 πn

10進法形式で解を証明する

x = 0.51447 \dots + 2 πn, x = 2 π - 0.51447 \dots + 2 πn

グラフ

人気の例

(cos^{2022}(x))/((sin^{2022)(x)+cos^{2022}(x))}=1

\frac{cos ^{2022} ( x )}{( sin ^{2022} ( x ) + cos ^{2022} ( x ) )} = 1

5sec(x)-4cos(x)=8

5 sec (x) - 4 cos (x) = 8

sin^{3} (x) = - 1

solvefor x,sin^2(x)=((1-cos(y)))/2

so l v e f or x, sin^{2} (x) = \frac{( 1 - cos ( y ) )}{2}

sin(x)+sin^2(x)+cos(x)+cos^2(x)=0

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